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The number of values of a for which equa...

The number of values of `a` for which equations `x^3+a x+1=0 and x^4+a x^2+1=0` have a common root is a) `0` b) `1` c) `2` d) Infinite

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. Let p(x)=0 be a polynomial equation of the least possible degree, with...

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  3. The number of values of a for which equations x^3+a x+1=0 and x^4+a x^...

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  4. If (mr ,1/mr) where r=1,2,3,4, are four pairs of values of x and y ...

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  6. If tantheta1,tantheta2,tantheta3 are the real roots of the x^3-(a+1)x...

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  7. If roots of an equation x^n-1=0a r e1,a1,a2,..... a(n-1), then the v...

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  8. If alpha,beta are the roots of a x^2+b x+c=0,(a!=0) and alpha+delta,be...

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  9. Let f(x)=A x^2+B x+c ,w h e r eA ,B ,C are real numbers. Prove that if...

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  10. Let S be a square of unit area. Consider any quadrilateral which has o...

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  11. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

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  14. Solve for x :(5+2sqrt(6))^(x^2-3)+(5-2sqrt(6))^(x^2-3)=10.

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  16. If a ,b ,c in R and equations a x^2+b x+c=0 and x^2+2x+3=0 have a com...

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  17. Find the condition that the expressions a x^2-b x y+c y^2a n da1x^2+b1...

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  18. If x^2+(a-b)x+(1-a-b)=0. where a ,b in R , then find the values of a ...

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  19. Let a ,b ,c be real numbers with a!=0 and alpha,beta be the roots of t...

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  20. If the product of the roots of the equation (a+1)x^2+(2a+3)x+(3a+4)=0i...

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